Question

At West High School, 2/5 of the students play a sport. Of the students who play a sport, 1/4play football. What fraction of the studentsat West High School play football2A1/10B 1/3C 1/5 D 2/3

Answer 1

Lets define the variables:

$X\colon\text{ students who play a sport}$$F\colon\text{ students who play football}$$H\colon\text{ total students of the high school}$

we have that

$X=\frac{2}{5}H\text{ }$

and

$F=\frac{1}{4}X\Rightarrow X=4F$

then replacion X=4F, we have that

$4F=\frac{2}{5}H\Rightarrow F=\frac{2}{5(4)}H\Rightarrow F=\frac{2}{20}H=\frac{1}{10}H$

then 1/10 of students at west high school play football